Apples and Oranges

You work in a factory boxing fruit. In front of you are three boxes labeled "apples," "oranges," and "apples & oranges." One box contains only apples, one contains only oranges, and one contains a mixture of both apples and oranges. Unfortunately, the label machine has gone haywire and has mislabeled all three boxes. Can you look at one piece of fruit from only one of the boxes and correctly label all three? Click below for the solution.

The key to this puzzle is that the type of fruit you pull from the box is not the only piece of information you have to work with. You also have the three labels that you know are incorrect. Pull a piece of fruit from the box labeled "apples & oranges." If it is an apple, then you know that this is the apples-only box. That means that the box (incorrectly) labeled "oranges" must be the box with both apples and oranges, and the box labeled "apples" must contain only oranges.

(It's interesting to note that if you pick from either the box labeled "apples" or the box labeled "oranges," you can't figure out the composition of the box. Only selecting from the box labeled "apples & oranges" leads to a solution.)